Cohomological induction is an important way of constructing representations of \(G\)  from representations of \(L\) . Let \(Z\)  be an irreducible \((\mathfrak {l}, L\cap K)\)  module with infinitesimal character
\(\Lambda _Z\in i\mathfrak {t}_{f, 0}^*\) . After [1]}, we say that \(Z\)  is in the good range (relative to \(\mathfrak {q}\)  and \(\mathfrak {g}\) ) if
\(B(\Lambda _Z + \rho (\mathfrak {u}), \alpha )>0, \quad \forall \alpha \in \Delta (\mathfrak {u}, \mathfrak {t}_f).\) 
